Question

What are the local extrema of `f(x)=(x-1)/(x-4)`?

Answer 1

It has no local extrema

Explanation:

`f'(x) = -3/(x-4)^2`

`f'(x)` is never `0` and is undefined only at `x=4` which is not in the domain of `f`.

`f` has no critical numbers, so `f` has no local extrema.